Results on controllability for Sobolev type fractional differential equations of order $ 1 &amp;lt; r &amp;lt; 2 $ with finite delay

Yong-Ki Ma,Marimuthu Mohan Raja,Anurag Shukla,Kottakkaran Sooppy Nisar,Velusamy Vijayakumar

doi:10.3934/math.2022568

Results on controllability for Sobolev type fractional differential equations of order $ 1 &lt; r &lt; 2 $ with finite delay

Yong-Ki Ma, Marimuthu Mohan Raja + Show 3 more

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https://doi.org/10.3934/math.2022568

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Journal: AIMS Mathematics	Publication Date: Jan 1, 2022
Citations: 13	License type: cc-by

Affiliation: Kongju National University, Prince Sattam Bin Abdulaziz University, Vellore Institute of Technology University

#Fractional Differential Equations Of Order #Finite Delay + Show 8 more

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Abstract

<abstract><p>In this article, exact controllability results for Sobolev fractional delay differential system of $ 1 &lt; r &lt; 2 $ are investigated. Fractional analysis, cosine and sine function operators, and Schauder's fixed point theorem are applied to verify the main results of this study. To begin, we use sufficient conditions to explore the controllability for fractional evolution differential system with finite delay. Lastly, an example is provided to illustrate the obtained theoretical results.</p></abstract>

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